The graph shows the average annual fuel consumption of vehicles in the United States between 1970 and 1995. t f(t) gallons 700 600 t years since 1970 500 10 20 30 (a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes. f(t) gallons f(t) gallons 700 700 600 600 1982 1982 2000 13 1990 1995 2000 1.5 44 1990 1995 16 1.5 t years 8 5 5 t years 19 18 500 1 500 since 1970 since 1970 10 20 30 10 20 30 f(t) gallons f(t) gallons 700 700 44 10 600 600 -401982 13 1982 5 2000 28 2000 1990 1995 5 -3 5 13 t years 1990 1995 t years 500 since 1970 500 since 1970 10 20 30 10 20 30 gallons per year 1982 f'(12)= gallons per year f'(20) 1990 f'(25) gallons per year 1995 f'(30) gallons per year 2000
The graph shows the average annual fuel consumption of vehicles in the United States between 1970 and 1995. t f(t) gallons 700 600 t years since 1970 500 10 20 30 (a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes. f(t) gallons f(t) gallons 700 700 600 600 1982 1982 2000 13 1990 1995 2000 1.5 44 1990 1995 16 1.5 t years 8 5 5 t years 19 18 500 1 500 since 1970 since 1970 10 20 30 10 20 30 f(t) gallons f(t) gallons 700 700 44 10 600 600 -401982 13 1982 5 2000 28 2000 1990 1995 5 -3 5 13 t years 1990 1995 t years 500 since 1970 500 since 1970 10 20 30 10 20 30 gallons per year 1982 f'(12)= gallons per year f'(20) 1990 f'(25) gallons per year 1995 f'(30) gallons per year 2000
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:The graph shows the average annual fuel consumption of vehicles in the United States between 1970 and 1995. t
f(t) gallons
700
600
t years
since 1970
500
10
20
30
Transcribed Image Text:(a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes.
f(t) gallons
f(t) gallons
700
700
600
600
1982
1982
2000
13
1990 1995
2000
1.5
44
1990 1995
16
1.5
t years
8
5
5
t years
19 18
500
1
500
since 1970
since 1970
10
20
30
10
20
30
f(t) gallons
f(t) gallons
700
700
44
10
600
600
-401982
13
1982
5
2000
28
2000
1990 1995
5
-3
5
13
t years
1990 1995
t years
500
since 1970
500
since 1970
10
20
30
10
20
30
gallons per year
1982
f'(12)=
gallons per year
f'(20)
1990
f'(25)
gallons per year
1995
f'(30)
gallons per year
2000
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